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Finding the Third Proportional to 21,989.25 and 48,010.78

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Solution

The third proportional to 21,989.25 and 48,010.78 is: 104,825.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,989.25 : 48,010.78 = 48,010.78 : x
  2. Step 2: Convert to fraction form
    21,989.25/48,010.78 = 48,010.78/x
  3. Step 3: Cross multiply
    21,989.25x = 48,010.78 × 48,010.78
  4. Step 4: Simplify right side
    21,989.25x = 2,305,035,116.24
  5. Step 5: Solve for x
    x = 2,305,035,116.24/21,989.25
  6. Step 6: Final answer
    x = 104,825.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.